A219488 Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 4, 9, 13, 22, 35, 57, ....

1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 3, 0, 0, 0, 0

Offset

0,14

Links

Alois P. Heinz, Table of n, a(n) for n = 0..18321

J. Berstel, An Exercise on Fibonacci Representations, RAIRO/Informatique Theorique, Vol. 35, No 6, 2001, pp. 491-498, in the issue dedicated to Aldo De Luca on the occasion of his 60th anniversary.

D. A. Klarner, Representations of N as a sum of distinct elements from special sequences, part 1, part 2, Fib. Quart., 4 (1966), 289-306 and 322.

Crossrefs

Cf. A000121, A000119, A067595, A003263, A103344.

Sequence in context: A024326 A287619 A133698 * A370813 A129251 A276077

Adjacent sequences: A219485 A219486 A219487 * A219489 A219490 A219491

Keyword

nonn

Author

Casey Mongoven, Nov 20 2012

Extensions

a(0)=1 from Alois P. Heinz, Sep 16 2015

Status

approved